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Congruence of isometric smooth surfaces with similar indicatrices of normal curvature in Euclidean space

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Literature cited

  1. G. E. Shilov, Mathematical Analysis of Functions of Several Real Variables [in Russian], Parts 1–2, Nauka, Moscow (1972).

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  2. R. R. Mullari, Theory of Multidimensional Surfaces of Euclidean Space [in Russian], Memoirs of the Computational Center, No. 16, Tartu (1969).

  3. S. B. Kadomtsev, “Investigation of questions of uniqueness of two-dimensional surfaces in Euclidean spaces,” in: Itogi Nauki i Tekhniki, Problems of Geometry [in Russian], Vol. 8 (1977), pp. 243–256.

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  4. Yu. A. Aminov, “Torsion of two-dimensional surfaces in Euclidean spaces,” Ukr. Geometr. Sb., No. 17, 3–14 (1975).

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Authors and Affiliations

  1. Khabarov Polytechnic Institute, USSR

    V. S. Kim

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  1. V. S. Kim
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Translated from Matematicheskie Zametki, Vol. 37, No. 5, pp. 751–757, May, 1985.

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Kim, V.S. Congruence of isometric smooth surfaces with similar indicatrices of normal curvature in Euclidean space. Mathematical Notes of the Academy of Sciences of the USSR 37, 414–417 (1985). https://doi.org/10.1007/BF01157976

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  • DOI: https://doi.org/10.1007/BF01157976

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